Finding the Third Proportional to 82,870 and 181,415

Step by Step Solution

1. Step 1: Write the proportion equation
   82,870 : 181,415 = 181,415 : x
2. Step 2: Convert to fraction form
   82,870/181,415 = 181,415/x
3. Step 3: Cross multiply
   82,870x = 181,415 × 181,415
4. Step 4: Simplify right side
   82,870x = 32,911,402,225
5. Step 5: Solve for x
   x = 32,911,402,225/82,870
6. Step 6: Final answer
   x = 397,144.95